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\begin{eqnarray*}
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S_{ab} & = & - \left[ m v_a v_b +
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\frac{1}{2} \sum_{n = 1}^{N_p} (r_{1_a} F_{1_b} + r_{2_a} F_{2_b}) +
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\frac{1}{2} \sum_{n = 1}^{N_p} (r_{1_a} F_{1_b} + r_{2_a} F_{2_b}) +
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\frac{1}{2} \sum_{n = 1}^{N_b} (r_{1_a} F_{1_b} + r_{2_a} F_{2_b}) +
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\frac{1}{3} \sum_{n = 1}^{N_a} (r_{1_a} F_{1_b} + r_{2_a} F_{2_b} +
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r_{3_a} F_{3_b}) + \\
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&& \frac{1}{4} \sum_{n = 1}^{N_d} (r_{1_a} F_{1_b} + r_{2_a} F_{2_b} +
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r_{3_a} F_{3_b}) + \right. \\
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&& \left. \frac{1}{4} \sum_{n = 1}^{N_d} (r_{1_a} F_{1_b} + r_{2_a} F_{2_b} +
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r_{3_a} F_{3_b} + r_{4_a} F_{4_b}) +
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\frac{1}{4} \sum_{n = 1}^{N_i} (r_{1_a} F_{1_b} + r_{2_a} F_{2_b} +
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r_{3_a} F_{3_b} + r_{4_a} F_{4_b}) \right]
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r_{3_a} F_{3_b} + r_{4_a} F_{4_b})
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\right]
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\end{eqnarray*}
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\end{document}
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